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Finding the Fourth Proportional to 314,825.28, 472,249.44 and 127,832.64

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Solution

The fourth proportional to 314,825.28, 472,249.44 and 127,832.64 is: 191,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,825.28 : 472,249.44 = 127,832.64 : x
  2. Step 2: Convert to fraction form
    314,825.28/472,249.44 = 127,832.64/x
  3. Step 3: Cross multiply
    314,825.28x = 472,249.44 × 127,832.64
  4. Step 4: Simplify right side
    314,825.28x = 60,368,892,653.72
  5. Step 5: Solve for x
    x = 60,368,892,653.72/314,825.28
  6. Step 6: Final answer
    x = 191,753.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.